Hi again,
Sorry Chaeon, bad choice of words. What I meant by 'Chaeon's implementation' was your implementation of my equation.

I did not analyze your equation in detail but it does seem to be compatible with the parabola, and if it works, it is far better than any other aproach

I can't comment on the rest of your code.

Alright! ive got all i need then! thanks for playing people, its been interesting. one step closer to completiooon..

bigM fixed the last bug in his power method and it works perfectly: i don't really understand it but that can come a little later.

camera.x += (target.x - camera.x) * (1 - pow(1 - reductionpersecond,time_step/16))

thank you bigM

and i finally thought of an appropriate signature:

"i HEART 3dgs."

Glad I could help,

A minor improvement:

camera.x += (target.x - camera.x) * (1 - pow(1 - reductionpertick , time_step))

This is essentially the same equation, but there is no need to divide every frame by 16, which speeds things up a bit. Note that you'll have to use much smaller values for reductionpertick than for reductionpersecond ( reductionpertick = 1 - (1 - reductionpersecond)^(1/16) )

Because this will be calculated every frame another slight improvement may be calculating (1 - reductionpertick) beforehand:

leftdistancepertick = (1 - reductionpertick)

and use that result in the equation:

camera.x += (target.x - camera.x) * (1 - pow(leftdistancepertick , time_step))